2(3n-3)=(2n+8)+7

Solution for 2(3n-3)=(2n+8)+7 equation:

Simplifying
2(3n + -3) = (2n + 8) + 7

Reorder the terms:
2(-3 + 3n) = (2n + 8) + 7
(-3 * 2 + 3n * 2) = (2n + 8) + 7
(-6 + 6n) = (2n + 8) + 7

Reorder the terms:
-6 + 6n = (8 + 2n) + 7

Remove parenthesis around (8 + 2n)
-6 + 6n = 8 + 2n + 7

Reorder the terms:
-6 + 6n = 8 + 7 + 2n

Combine like terms: 8 + 7 = 15
-6 + 6n = 15 + 2n

Solving
-6 + 6n = 15 + 2n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-2n' to each side of the equation.
-6 + 6n + -2n = 15 + 2n + -2n

Combine like terms: 6n + -2n = 4n
-6 + 4n = 15 + 2n + -2n

Combine like terms: 2n + -2n = 0
-6 + 4n = 15 + 0
-6 + 4n = 15

Add '6' to each side of the equation.
-6 + 6 + 4n = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 4n = 15 + 6
4n = 15 + 6

Combine like terms: 15 + 6 = 21
4n = 21

Divide each side by '4'.
n = 5.25

Simplifying
n = 5.25